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TY - CONF AU - Bogomyagkov, A.V. AU - Glukhov, S.A. AU - Levichev, E.B. AU - Sinyatkin, S.V. ED - Li, Ying-ying ED - Li, Lu ED - Schaa, Volker RW TI - Dynamic Aperture Limitation Due to the Synchrotron Radiation from Quadrupole Magnets in very High Energy Colliders J2 - Proc. of eeFACT2018, Hong Kong, China, 24-27 September 2018 CY - Hong Kong, China T2 - ICFA ABDW on High Luminosity Circular e$^+$e$^-$ Colliders T3 - 62 LA - english AB - In a lepton storage ring of very high energy (e.g. in the e⁺e⁻ Higgs factory) synchrotron radiation from quadrupoles constraints transverse dynamic aperture even in the absence of any magnetic nonlinearities. This was observed in LEP and the Future Circular e⁺e⁻ Collider (FCC-ee). Synchrotron radiation in the quadrupoles modulates the particle energy at the double betatron frequency. Energy modulation varies transverse focusing strength at the same frequency and creates a parametric resonance of the betatron oscillations. Starting from 6d equations of motion we derive and solve the relevant differential equation describing the resonance, and show good agreement between analytical results and numerical simulation. PB - JACoW Publishing CP - Geneva, Switzerland SP - 46 EP - 56 KW - synchrotron KW - radiation KW - quadrupole KW - betatron KW - resonance DA - 2019/04 PY - 2019 SN - 978-3-95450-216-5 DO - DOI: 10.18429/JACoW-eeFACT2018-TUOAB01 UR - http://jacow.org/eefact2018/papers/tuoab01.pdf ER -